Maine Learning Result: Mathematics - B. Data
Probability
Grade 9 - Diploma
5. Students understand the relationship of probability to relative frequency and know how to find the probability of compound events.
b. Find expected value of events
What understandings are desired?
Students will understand that:(U)
• Not all elements in a data set are equally likely.
• Pictures and graphs can represent data.
• Fractions are used to find probabilities.
What essential questions will be considered?
Essential Questions:(Q)
• Why are probabilities between 0 and 1?
• Why are some pictures/graphs better for an overview of data opposed to other pictures/graphs?
• Where can one apply the concepts of probability?
What key knowledge and skills will students acquire as a result of this unit?
Students will know:(K)
Students will be able to do:(S)
•Terminology: event, set, odds, probability, expected value, mean, element, combinations, compound, relative frequency, statistic.
• Critical Design: box plots, frequency tables, bar and line graphs, pie charts.
• Formulas: Probability (Events you want/Total events), Quartiles (numerical list), Expected value
• Show how to find and use probabilities.
• Make meaning of a visual (of data) to estimate probabilities.
• b. Solve for the expected value of a data set.
• Infer the likelihood of different events happening based on their probability.
• Relate concepts of probability to the real world.
• Recognize probability gives ideas not facts on data sets.
Stage 1 Identify Desired Results
Probability
Grade 9 - Diploma
5. Students understand the relationship of probability to relative frequency and know how to find the probability of compound events.
b. Find expected value of events
What understandings are desired?
• Pictures and graphs can represent data.
• Fractions are used to find probabilities.
What essential questions will be considered?
• Why are some pictures/graphs better for an overview of data opposed to other pictures/graphs?
• Where can one apply the concepts of probability?
What key knowledge and skills will students acquire as a result of this unit?
• Critical Design: box plots, frequency tables, bar and line graphs, pie charts.
• Formulas: Probability (Events you want/Total events), Quartiles (numerical list), Expected value
• Make meaning of a visual (of data) to estimate probabilities.
• b. Solve for the expected value of a data set.
• Infer the likelihood of different events happening based on their probability.
• Relate concepts of probability to the real world.
• Recognize probability gives ideas not facts on data sets.